caa a22 4500 445378883 CHVBK 20180317143011.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10485-010-9229-9 doi (NATIONALLICENCE)springer-10.1007/s10485-010-9229-9 Idempotent Convexity and Algebras for the Capacity Monad and its Submonads [Elektronische Daten] [Oleh Nykyforchyn, Dušan Repovš] Idempotent analogues of convexity are introduced. It is proved that the category of algebras for the capacity monad in the category of compacta is isomorphic to the category of (max, min)-idempotent biconvex compacta and their biaffine maps. It is also shown that the category of algebras for the monad of sup-measures ((max, min)-idempotent measures) is isomorphic to the category of (max, min)-idempotent convex compacta and their affine maps. Springer Science+Business Media B.V., 2010 Capacity functor nationallicence Algebra for a monad nationallicence Idempotent semimodule nationallicence Idempotent convexity nationallicence Nykyforchyn Oleh Department of Mathematics and Computer Science, Vasyl' Stefanyk Precarpathian National University, Shevchenka 57, Ivano-Frankivsk, Ukraine aut Repovš Dušan Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, P.O.B. 2964, Ljubljana, Slovenia aut Applied Categorical Structures Springer Netherlands 19/4(2011-08-01), 709-727 0927-2852 19:4<709 2011 19 10485 https://doi.org/10.1007/s10485-010-9229-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-010-9229-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nykyforchyn Oleh Department of Mathematics and Computer Science, Vasyl' Stefanyk Precarpathian National University, Shevchenka 57, Ivano-Frankivsk, Ukraine aut NATIONALLICENCE 700 1- Repovš Dušan Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, P.O.B. 2964, Ljubljana, Slovenia aut NATIONALLICENCE 773 0- Applied Categorical Structures Springer Netherlands 19/4(2011-08-01), 709-727 0927-2852 19:4<709 2011 19 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer